Plastic Zone around Circular Holes

摘要

In 1946, L. A. Galin proposed an ingenious solution to the problem of analytically determining the plastic region completely surrounding a circular hole in a thin initially elastic plate subject to tensile stress at infinity. The results of Galin’s analysis are recovered by a simple collocation, provided an elliptical elastic-plastic boundary is assumed. This elementary procedure is then applied to treat the case, unresolvable by Galin’s method, in which the plastic domain does not completely surround the hole.